On groups of perfect shuffles

Date of Publication

1996

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper provides a comprehensive introduction to groups of perfect shuffles. A perfect shuffle is a particular way of permuting the cards in a deck. The theory of shuffle groups includes properties on permutation of piles, standard shuffles and others. Results on the order of standard shuffles, reverse shuffle and the group G1kz are also included. The shuffle group G has a normal subgroup N for which the factor group is isomorphic to Zz.The main results in this thesis are contained in the article by Steve Medvedoff and Kent Morrison entitled Groups of Perfect Shuffles . The researchers provided a summary of the preliminary concepts in abstract algebra that are necessary, to understand the concepts discussed in the article, and the proofs of major results were expanded to facilitate this comprehension. Illustrative examples were also used to clarify the concepts that were presented.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU07459

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

95 leaves

Keywords

Permutation groups; Group theory; Cards

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